On the Study of Neutral Stochastic Integro-Differential Neural Networks With Semi-Markovian Jumps and Random Multi-Delay in the Past and Present Moments

Abstract

This work is devoted to study existence, uniqueness and exponential stability in pth-moment for solution of integro-differential neural networks system. Under global Lipschitz condi-tion, existence and uniqueness of solution for stochastic neutral-type integro-differential neural net-works with sem-Markovian switching and random time delay are shown. Basing on the Lyapunov-Krasovskii functional and stochastic analysis technique, exponential stability in the pth-moment and exponential stability in the mean square are established. A numerical example is given to illustrate the main proposed results. © CSP - Cambridge, UK; I&S - Florida, USA, 2023